𝑚𝑜𝑑 𝑝 Wu formulas for the Steenrod algebra and the Dyer-Lashof algebra

Author:

Shay P. Brian

Abstract

Formulas for the polynomials P i ( c j ) {\mathcal {P}^i}({c_j}) and Q i ( a j ) {Q^i}({a_j}) in H ( B U ; Z p ) {H^\ast }(BU;{Z_p}) and H ( B U ; Z p ) {H_\ast }(BU;{Z_p}) , analogous to Wu’s formulas for S q i ( w j ) S{q^i}({w_j}) , are given.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference6 articles.

1. Homology of the classical groups over the Dyer-Lashof algebra;Kochman, Stanley O.;Trans. Amer. Math. Soc.,1973

2. D. Moore, Homology operations for classifying spaces of certain groups, Thesis, Northwestern Univ., June 1974.

3. Dyer-Lashof operations for the classifying spaces of certain matrix groups;Priddy, Stewart;Quart. J. Math. Oxford Ser. (2),1975

4. P. B. Shay, 𝐻*(𝐵𝑈) over the Steenrod and Dyer-Lashof algebras (to appear).

5. Bipolynomial Hopf algebras;Ravenel, Douglas C.;J. Pure Appl. Algebra,1974

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1. Homotopy commutativity in Hermitian symmetric spaces;Glasgow Mathematical Journal;2022-04-18

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